A sphere and a cone have the same volume, and each has a radius of 6 centimeters. What is the height of the cone?

midtlinjeg

midtlinjeg

Answered question

2021-02-21

A sphere and a cone have the same volume, and each has a radius of 6 centimeters. What is the height of the cone?

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-02-22Added 83 answers

Equate the volumes of the sphere and the cone: Vsphere=Vcone 43πr3=13πr3
Substitute r=6 cm and solve for h:
43π(6)3=13π(6)2h
288π=12πh

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